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True or false?
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True or false? help me please-example-1
User Ray Jezek
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2 Answers

14 votes
14 votes

Answer:

False

Explanation:

The point that is equidistant from the vertices of a triangle is called the circumcenter.

User Roger Heathcote
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2.7k points
14 votes
14 votes

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Answer:

False

Explanation:

The incenter is the center of the inscribed circle, which is tangent to all of the sides of the triangle. The incenter is equidistant from the sides, not the vertices.

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Additional comment

The circumcenter is the center of the circumscribing circle. Each of the vertices of the triangle is on the circumcircle, so the circumcenter is equidistant from the vertices.

The incenter is located at the intersection point of the angle bisectors. The circumcenter is located at the intersection point of the perpendicular bisectors of the sides.

User Frank Buss
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3.5k points